It wasn’t your father’s Oldsmobile.
They certainly aren’t your mother’s hair products.
Screen shot, Not Your Mother’s hair care.
No way these are your daughter’s jeans.
And this definitely isn’t your kid’s horsey ride.
Outdoor ad for Golden Gate Fields (“Where the Bay Comes to Play”), April 2013.
According to TV Tropes, “Not Your Daddy’s X” is “an often-used stock phrase … done to ensure [sic] the intended customer that their [sic] product has evolved beyond its original form.” TVT’s examples include “This is not your father’s Autobot” (Transformers Generation 2), “These aren’t your dad’s puns” (Powerthirst), and – looping back to that original Shatner appearance – “Not your father’s Star Trek” (ad for Star Trek movie).